General delay dynamical systems in which uncertainty is present in the form of probability measure dependent dynamics are considered. Several motivating examples arising in biology are discussed. A functional analytic framework for investigating well-posedness (existence, uniqueness and continuous dependence of solutions), inverse problems, sensitivity analysis and approximations of the measure...

Problem statement: This study is concerned with the problem of delay-dependent stability analysis for discrete-time systems with interval-like time-varying delays. Conclusion/Recommendations: The problem is solved by applying a novel Lyapunov functional and an improved delay-dependent stability criterion is obtained in terms of a linear matrix inequality.

In this paper, the fuzzy systems with multiple non-commensurate time delays are considered. First, the observer-based state feedback fuzzy controllers are proposed. Based on the delay-dependent Lyapunov functional approach, the delay-dependent control design method is derived under which the parallel-distributed fuzzy control can stabilize the whole fuzzy time-delay system asymptotically. Final...

Abstract This paper studies a Balakrishnan–Taylor viscoelastic wave equation with strong time-dependent delay. Under suitable assumptions on the coefficients of delay term, we establish generalized stability result, which improve some earlier results in literature.